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Article: A Fourier-Chebyshev collocation method for the mass transport in a layer of power-law fluid mud
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TitleA Fourier-Chebyshev collocation method for the mass transport in a layer of power-law fluid mud
 
AuthorsHuang, L1
Ng, CO1
Chwang, AT1
 
KeywordsMass transport in waves
Power-law fluid
Spectral collocation methods
 
Issue Date2006
 
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cma
 
CitationComputer Methods In Applied Mechanics And Engineering, 2006, v. 195 n. 9-12, p. 1136-1153 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.cma.2005.04.006
 
AbstractA Fourier-Chebyshev collocation spectral method is employed in this work to compute the Lagrangian drift or mass transport due to periodic surface pressure loading in a thin layer of non-Newtonian fluid mud, which is modeled as a power-law fluid. Because of the non-Newtonian rheology, these problems are nonlinear and must be solved numerically. On assuming that the solutions are of the same permanent waveform as the pressure loading, the governing equations are made time-independent by referring to a horizontal axis that moves at the same speed as the wave. The solutions are periodic in the horizontal direction, but are non-periodic in the vertical direction, and the computational domain is therefore discretized according to the Fourier-Chebyshev spectral collocation scheme. In this study, the spatial derivatives are computed with a differentiation matrix. In order to incorporate the boundary conditions, the matrix diagonalization technique is used to solve the matrix equation, and all the definite integrals in the vertical direction based on the collocation points are performed by the modified Clenshaw-Curtis quadrature rule. The developed method is applied to compute the first- and second-order motion of the mud. The comparison between the numerical results and the analytical solution in the Newtonian limit shows the good accuracy of the spectral method. © 2005 Elsevier B.V. All rights reserved.
 
ISSN0045-7825
2012 Impact Factor: 2.617
2012 SCImago Journal Rankings: 2.377
 
DOIhttp://dx.doi.org/10.1016/j.cma.2005.04.006
 
ISI Accession Number IDWOS:000234528400016
 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorHuang, L
 
dc.contributor.authorNg, CO
 
dc.contributor.authorChwang, AT
 
dc.date.accessioned2010-09-06T07:13:19Z
 
dc.date.available2010-09-06T07:13:19Z
 
dc.date.issued2006
 
dc.description.abstractA Fourier-Chebyshev collocation spectral method is employed in this work to compute the Lagrangian drift or mass transport due to periodic surface pressure loading in a thin layer of non-Newtonian fluid mud, which is modeled as a power-law fluid. Because of the non-Newtonian rheology, these problems are nonlinear and must be solved numerically. On assuming that the solutions are of the same permanent waveform as the pressure loading, the governing equations are made time-independent by referring to a horizontal axis that moves at the same speed as the wave. The solutions are periodic in the horizontal direction, but are non-periodic in the vertical direction, and the computational domain is therefore discretized according to the Fourier-Chebyshev spectral collocation scheme. In this study, the spatial derivatives are computed with a differentiation matrix. In order to incorporate the boundary conditions, the matrix diagonalization technique is used to solve the matrix equation, and all the definite integrals in the vertical direction based on the collocation points are performed by the modified Clenshaw-Curtis quadrature rule. The developed method is applied to compute the first- and second-order motion of the mud. The comparison between the numerical results and the analytical solution in the Newtonian limit shows the good accuracy of the spectral method. © 2005 Elsevier B.V. All rights reserved.
 
dc.description.natureLink_to_subscribed_fulltext
 
dc.identifier.citationComputer Methods In Applied Mechanics And Engineering, 2006, v. 195 n. 9-12, p. 1136-1153 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.cma.2005.04.006
 
dc.identifier.doihttp://dx.doi.org/10.1016/j.cma.2005.04.006
 
dc.identifier.epage1153
 
dc.identifier.hkuros112158
 
dc.identifier.isiWOS:000234528400016
 
dc.identifier.issn0045-7825
2012 Impact Factor: 2.617
2012 SCImago Journal Rankings: 2.377
 
dc.identifier.issue9-12
 
dc.identifier.openurl
 
dc.identifier.scopuseid_2-s2.0-28444468839
 
dc.identifier.spage1136
 
dc.identifier.urihttp://hdl.handle.net/10722/75659
 
dc.identifier.volume195
 
dc.languageeng
 
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cma
 
dc.publisher.placeNetherlands
 
dc.relation.ispartofComputer Methods in Applied Mechanics and Engineering
 
dc.relation.referencesReferences in Scopus
 
dc.rightsComputer Methods in Applied Mechanics and Engineering. Copyright © Elsevier BV.
 
dc.subjectMass transport in waves
 
dc.subjectPower-law fluid
 
dc.subjectSpectral collocation methods
 
dc.titleA Fourier-Chebyshev collocation method for the mass transport in a layer of power-law fluid mud
 
dc.typeArticle
 
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Author Affiliations
  1. The University of Hong Kong